Boroumand, ParhamGuillén i Fábregas, A. (Albert)2023-02-012023-02-012022Boroumand P, Guillén i Fàbregas A. Mismatched binary hypothesis testing: error exponent sensitivity. IEEE Trans Inf Theory. 2022;68(10):6738-61. DOI: 10.1109/TIT.2022.31714380018-9448http://hdl.handle.net/10230/55587We study the problem of mismatched binary hypothesis testing between i.i.d. distributions. We analyze the tradeoff between the pairwise error probability exponents when the actual distributions generating the observation are different from the distributions used in the likelihood ratio test, sequential probability ratio test, and Hoeffding’s generalized likelihood ratio test in the composite setting. When the real distributions are within a small divergence ball of the test distributions, we find the deviation of the worst-case error exponent of each test with respect to the matched error exponent. In addition, we consider the case where an adversary tampers with the observation, again within a divergence ball of the observation type. We show that the tests are more sensitive to distribution mismatch than to adversarial observation tampering.application/pdfeng© 2022 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. http://dx.doi.org/10.1109/TIT.2022.3171438info:eu-repo/semantics/articlehttp://dx.doi.org/10.1109/TIT.2022.3171438Hypothesis testingMismatchLikelihood ratio testGeneralized likelihood ratio testSequenstial probability ratio testinfo:eu-repo/semantics/openAccess